vectors and projectile motion how fast will the plane go if it has a crosswind of 20m/s? we need to...
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VECTORS AND
PROJECTILEMOTION
How fast will the plane go if it has a crosswind of
20m/s?
We need to use vectors!!!!!!!
Terms to Know:
• Resultant Vector
• Component Vector X-Component Y-Component
2 Mathematical Tools:• Pythagorean Theorem
a2 + b2 = c2
• SOH-CAH-TOA
hyp
oppsin
hyp
adjcos
adj
opptan
A Trojan walks 45.0 m north, then turns and walks 7.5 m
east. What was the Trojan’s displacement?
(magnitude and direction)
45.6 m at 9.5° east of north
Ebony passes a soccer ball 6.0 m directly across the field to Amber,
who then kicks the ball 14.5 m directly down the field to Duane.
What is the ball’s total displacement?
(magnitude and direction)
15.7 m at 22° from the sideline
Find the component velocities of a helicopter traveling 95 km/hr at an angle of 35° to
the ground.
vx = 78 km/hr ; vy = 54 km/hr
A superhero flies 125 meters down from the top of a tall
building at an angle of 25° below the horizontal. Find the horizontal and vertical
components of his displacement vector.
x = 110. m ; y = -53 m
A truck drives up a hill with a 15° incline. If the truck has a constant speed of 22 m/s, what are the horizontal and vertical
components of the truck’s velocity?
vx = 21 m/s ; vy = 5.7 m/s
TRAJECTORYthe path a
projectile takes
The motion of a projectile is described by:
• Position
• Velocity
• Acceleration
PROJECTILEany launched
object
Types of Projectiles
All 2-D projectiles follow a parabolic
trajectory.
FEED THE MONKEY!!!
Throw at the monkey without gravity.
Throw above the monkey with “gravity on”.
Throw at the monkey at a fast speed with “gravity on”.
Throw at the monkey at a slow speed with “gravity on”.
Independence of x and y motion!
Now we must sign our
“Declaration of Independence”
QuickTime™ and aTIFF (LZW) decompressor
are needed to see this picture.
TAKE HOME MESSAGE
Motion in the x-direction is independent of motion in
the y-direction!!!
True or False?
The velocity of a projectile at its highest
point is zero.
Based on your reading, at what angle should
you launch your rockets to get maximum range?
If a ball is tossed up with a velocity of 10 m/s,
what will be its velocity when it returns back to
your hand?
At what point in a trajectory will a projectile have a
maximum height?
A plane flies horizontally at 50.0 m/s. If the plane is 54.0 m
above the ground, how far will the package travel
horizontally before it hits the ground?
166 m
A cat chases a mouse across a 1.0 m high table. The mouse steps out of the way, and the
cat slides off the table at a speed of 5.0 m/s. Where does
the cat strike the floor?
2.3 m from the table
A pelican flying along a horizontal path drops a fish from a height of 5.4 m while
traveling 5.0 m/s. How far does the fish travel horizontally
before it hits the water below?
5.0 m
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